And the total volume integrated from here to some redshift of z is given by these formulas.

But nevertheless the principle is the same.

Volume

We have a list where each element of the list is a list.

And a hydrostatic skeleton uses two elements.

And this dot times, this is the element y's multiplication operation that we know from MATLAB.

Let me try my best to draw this neatly.

It's made out of ice.

So with option three we have a list where each element of the list is itself a list.

If say, universe was populated by particles such as galaxies or alignment of a clouds, and we can count, then their number per unit volume is something that will be also dependent on the expansion rate.

Liquid hydrogen and oxygen.

Well, they also tell us that the volume is 405.

So let's think about it.

Well, which ever of the two arrays it lands in A or B it has to be the smallest one there okay.

That means the value of p index i is this first element of the list p.

It contains a string, a number, a string, a number, and then a list.

like ( lt b gt bold).

So if I had a little cube here in the volume under consideration, that's a little cube you consider that dv.

So how do we figure out the volume under a surface like this?

In units, what are the dimensions of the box?

This liquid can be resolved into three elements.

We need to deprive him of oxygen.

Ben Right.

Elements

And that seems pretty reasonable for our reality.

And that little cube has side length 2.

The second element is the expression the condition that determines whether or not we execute the loop body.

Remember that we decided in the previous question that the way to represent index is as a list where each element of the list is itself a list and each of the element list is a keyword followed by a list of the URLs where that keyword appears.

Element name

Block Elements

The Triad Why they are always three?

That one needs to be reversed, and so on.

What it's doing is running through the list, checking each element against every other element.

So dy, which is this. dy times dx, dx times dz.

And that's that the ratio between the volumes let me write this down that the ratio between the volume at state B and the volume at state A so the ratio of that volume to that volume is equal to, in our Carnot cycle, is equal to the ratio between the volume at state C.

Ben Just the right prime numbers

Is known, is the determinant and the determinant is just getting a scalier number out of a matrix, by taking the product of the diagonals relative to the product of the off diagonals.

And perhaps, a time will come when they get the rightful credit for it.

So this is the surface defined by this function.

Now if I multiply this whole thing times dy,

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